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Finding the Fourth Proportional to 415,908.40, 623,862.60 and 205,502.80

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Solution

The fourth proportional to 415,908.40, 623,862.60 and 205,502.80 is: 308,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,908.40 : 623,862.60 = 205,502.80 : x
  2. Step 2: Convert to fraction form
    415,908.40/623,862.60 = 205,502.80/x
  3. Step 3: Cross multiply
    415,908.40x = 623,862.60 × 205,502.80
  4. Step 4: Simplify right side
    415,908.40x = 128,205,511,115.28
  5. Step 5: Solve for x
    x = 128,205,511,115.28/415,908.40
  6. Step 6: Final answer
    x = 308,254.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.